Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 126, 859, 31, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 859, 31, 345 is 1
GCD(126, 859, 31, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 859, 31, 345 is 1
GCD(126, 859, 31, 345) = 1
Given Input numbers are 126, 859, 31, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 126, 859, 31, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 859, 31, 345 is 1.
Therefore, GCD of numbers 126, 859, 31, 345 is 1
Given Input Data is 126, 859, 31, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 859 is 859
Prime Factorization of 31 is 31
Prime Factorization of 345 is 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(126, 859) = 108234
GCD(126, 859) = ( 126 x 859 ) / 108234
GCD(126, 859) = 108234 / 108234
GCD(126, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 126, 859, 31, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 859, 31, 345?
GCD of 126, 859, 31, 345 is 1
2. Where do I get the detailed procedure to find GCD of 126, 859, 31, 345?
You can find a detailed procedure to find GCD of 126, 859, 31, 345 on our page.
3. How to find GCD of 126, 859, 31, 345 on a calculator?
You can find the GCD of 126, 859, 31, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.